2 problems

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Fokas's conjecture on higher-order symmetries for integrable evolution systems
A system of $m$ evolution equations is said to be integrable when it possesses sufficiently many higher-order generalized symmetries. Fokas's conjecture. A system of $m$ evolution…
Conjectureopenevolution-equations integrable-systems symmetry-integrabilityarXiv posted 2 days ago
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Symmetry-integrability conjecture for the multicomponent Camassa–Holm–Novikov system
Symmetry-integrability conjecture. System $(1.1)$ is symmetry-integrable only in the case
Conjectureopencamassa-holm-equations integrable-systems symmetry-integrabilityarXiv posted 2 days ago

Fokas's conjecture on higher-order symmetries for integrable evolution systems